Chapter

The Richness of Number Theory
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1:18:32 - 1:22:59 (04:26)

The Fermat problem was a major breakthrough in number theory, resulting in the development of incredible richness in the field. Clever methods have been used to solve equations like this, including Andrew Wiles and Richard Taylor's proof of the theorem.

Clips
The beauty and importance of number theory lies in solving equations with clever methods like the one Fermat wrote about, contributions by Andrew Wiles, and the appeal of simple, wonderful proofs.
1:18:32 - 1:20:39 (02:06)
listen on Spotify
Number Theory
Summary

The beauty and importance of number theory lies in solving equations with clever methods like the one Fermat wrote about, contributions by Andrew Wiles, and the appeal of simple, wonderful proofs.

Chapter
The Richness of Number Theory
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast
Number systems beyond what we're used to offer a whole new world of phenomena to study that we can't see through our current lens, like the fact that in more general number systems there is no unique factorization.
1:20:39 - 1:22:59 (02:20)
listen on Spotify
Number Systems
Summary

Number systems beyond what we're used to offer a whole new world of phenomena to study that we can't see through our current lens, like the fact that in more general number systems there is no unique factorization.

Chapter
The Richness of Number Theory
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast